Characterizations of z -Lindelöf spaces

Ahmad Al-Omari; Takashi Noiri

Archivum Mathematicum (2017)

  • Volume: 053, Issue: 2, page 93-99
  • ISSN: 0044-8753

Abstract

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A topological space ( X , τ ) is said to be z -Lindelöf  [1] if every cover of X by cozero sets of ( X , τ ) admits a countable subcover. In this paper, we obtain new characterizations and preservation theorems of z -Lindelöf spaces.

How to cite

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Al-Omari, Ahmad, and Noiri, Takashi. "Characterizations of $z$-Lindelöf spaces." Archivum Mathematicum 053.2 (2017): 93-99. <http://eudml.org/doc/288222>.

@article{Al2017,
abstract = {A topological space $(X, \tau )$ is said to be $z$-Lindelöf  [1] if every cover of $X$ by cozero sets of $(X,\tau )$ admits a countable subcover. In this paper, we obtain new characterizations and preservation theorems of $z$-Lindelöf spaces.},
author = {Al-Omari, Ahmad, Noiri, Takashi},
journal = {Archivum Mathematicum},
keywords = {cozero set; $\omega $-open set; Lindelöf; $z$-Lindelöf},
language = {eng},
number = {2},
pages = {93-99},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Characterizations of $z$-Lindelöf spaces},
url = {http://eudml.org/doc/288222},
volume = {053},
year = {2017},
}

TY - JOUR
AU - Al-Omari, Ahmad
AU - Noiri, Takashi
TI - Characterizations of $z$-Lindelöf spaces
JO - Archivum Mathematicum
PY - 2017
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 053
IS - 2
SP - 93
EP - 99
AB - A topological space $(X, \tau )$ is said to be $z$-Lindelöf  [1] if every cover of $X$ by cozero sets of $(X,\tau )$ admits a countable subcover. In this paper, we obtain new characterizations and preservation theorems of $z$-Lindelöf spaces.
LA - eng
KW - cozero set; $\omega $-open set; Lindelöf; $z$-Lindelöf
UR - http://eudml.org/doc/288222
ER -

References

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